GCD of 225, 144, 198, 896 Calculator

Given Input numbers are 225, 144, 198, 896

In the factoring method, we have to find the divisors of all numbers

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (225, 144, 198, 896) = 1.

Given numbers are 225, 144, 198, 896

The list of prime factors of all numbers are

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 225, 144, 198, 896

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(225, 144) = 3600

GCD(225, 144) = ( 225 x 144 ) / 3600

= 225 / 144

= 225

Step2:

LCM(9, 198) = 198

GCD(9, 198) = ( 9 x 198 ) / 198

= 9 / 198

= 9

Step3:

LCM(9, 896) = 8064

GCD(9, 896) = ( 9 x 896 ) / 8064

= 9 / 896

= 9

So, Greatest Common Divisor of 225, 144, 198, 896 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 417, 661, 220
• GCD of 783, 396, 859, 177
• GCD of 745, 304, 143, 218
• GCD of 554, 329, 698, 231
• GCD of 254, 545, 593, 824

Given numbers are 225, 144, 198, 896
The greatest common divisor of numbers 225, 144, 198, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 144, 198, 896 is 1.

1. What is the GCD of 225, 144, 198, 896?

GCD of given numbers 225, 144, 198, 896 is 1

2. How to calculate the greatest common divisor of 225, 144, 198, 896?

We can find the highest common divisor of 225, 144, 198, 896 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 225, 144, 198, 896 i.e 1.

3. How can I use the GCD of 225, 144, 198, 896Calculator?

Out the numbers 225, 144, 198, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.